What is the Greatest Common Factor of 26130 and 26148?
Greatest common factor (GCF) of 26130 and 26148 is 6.
GCF(26130,26148) = 6
We will now calculate the prime factors of 26130 and 26148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26130 and 26148.
How to find the GCF of 26130 and 26148?
We will first find the prime factorization of 26130 and 26148. After we will calculate the factors of 26130 and 26148 and find the biggest common factor number .
Step-1: Prime Factorization of 26130
Prime factors of 26130 are 2, 3, 5, 13, 67. Prime factorization of 26130 in exponential form is:
26130 = 21 × 31 × 51 × 131 × 671
Step-2: Prime Factorization of 26148
Prime factors of 26148 are 2, 3, 2179. Prime factorization of 26148 in exponential form is:
26148 = 22 × 31 × 21791
Step-3: Factors of 26130
List of positive integer factors of 26130 that divides 26130 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 67, 78, 130, 134, 195, 201, 335, 390, 402, 670, 871, 1005, 1742, 2010, 2613, 4355, 5226, 8710, 13065
Step-4: Factors of 26148
List of positive integer factors of 26148 that divides 26130 without a remainder.
1, 2, 3, 4, 6, 12, 2179, 4358, 6537, 8716, 13074
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26130 and 26148. The biggest common factor number is the GCF number.
So the greatest common factor 26130 and 26148 is 6.
Also check out the Least Common Multiple of 26130 and 26148
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