What is the Greatest Common Factor of 41124 and 41132?
Greatest common factor (GCF) of 41124 and 41132 is 4.
GCF(41124,41132) = 4
We will now calculate the prime factors of 41124 and 41132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41124 and 41132.
How to find the GCF of 41124 and 41132?
We will first find the prime factorization of 41124 and 41132. After we will calculate the factors of 41124 and 41132 and find the biggest common factor number .
Step-1: Prime Factorization of 41124
Prime factors of 41124 are 2, 3, 23, 149. Prime factorization of 41124 in exponential form is:
41124 = 22 × 31 × 231 × 1491
Step-2: Prime Factorization of 41132
Prime factors of 41132 are 2, 7, 13, 113. Prime factorization of 41132 in exponential form is:
41132 = 22 × 71 × 131 × 1131
Step-3: Factors of 41124
List of positive integer factors of 41124 that divides 41124 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 149, 276, 298, 447, 596, 894, 1788, 3427, 6854, 10281, 13708, 20562
Step-4: Factors of 41132
List of positive integer factors of 41132 that divides 41124 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 113, 182, 226, 364, 452, 791, 1469, 1582, 2938, 3164, 5876, 10283, 20566
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 41124 and 41132. The biggest common factor number is the GCF number.
So the greatest common factor 41124 and 41132 is 4.
Also check out the Least Common Multiple of 41124 and 41132
Related Greatest Common Factors of 41124
- GCF of 41124 and 41128
- GCF of 41124 and 41129
- GCF of 41124 and 41130
- GCF of 41124 and 41131
- GCF of 41124 and 41132
- GCF of 41124 and 41133
- GCF of 41124 and 41134
- GCF of 41124 and 41135
- GCF of 41124 and 41136
- GCF of 41124 and 41137
- GCF of 41124 and 41138
- GCF of 41124 and 41139
- GCF of 41124 and 41140
- GCF of 41124 and 41141
- GCF of 41124 and 41142
- GCF of 41124 and 41143
- GCF of 41124 and 41144
Related Greatest Common Factors of 41132
- GCF of 41132 and 41136
- GCF of 41132 and 41137
- GCF of 41132 and 41138
- GCF of 41132 and 41139
- GCF of 41132 and 41140
- GCF of 41132 and 41141
- GCF of 41132 and 41142
- GCF of 41132 and 41143
- GCF of 41132 and 41144
- GCF of 41132 and 41145
- GCF of 41132 and 41146
- GCF of 41132 and 41147
- GCF of 41132 and 41148
- GCF of 41132 and 41149
- GCF of 41132 and 41150
- GCF of 41132 and 41151
- GCF of 41132 and 41152