What is the Greatest Common Factor of 67108 and 67124?
Greatest common factor (GCF) of 67108 and 67124 is 4.
GCF(67108,67124) = 4
We will now calculate the prime factors of 67108 and 67124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67108 and 67124.
How to find the GCF of 67108 and 67124?
We will first find the prime factorization of 67108 and 67124. After we will calculate the factors of 67108 and 67124 and find the biggest common factor number .
Step-1: Prime Factorization of 67108
Prime factors of 67108 are 2, 19, 883. Prime factorization of 67108 in exponential form is:
67108 = 22 × 191 × 8831
Step-2: Prime Factorization of 67124
Prime factors of 67124 are 2, 97, 173. Prime factorization of 67124 in exponential form is:
67124 = 22 × 971 × 1731
Step-3: Factors of 67108
List of positive integer factors of 67108 that divides 67108 without a remainder.
1, 2, 4, 19, 38, 76, 883, 1766, 3532, 16777, 33554
Step-4: Factors of 67124
List of positive integer factors of 67124 that divides 67108 without a remainder.
1, 2, 4, 97, 173, 194, 346, 388, 692, 16781, 33562
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67108 and 67124. The biggest common factor number is the GCF number.
So the greatest common factor 67108 and 67124 is 4.
Also check out the Least Common Multiple of 67108 and 67124
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