What is the Greatest Common Factor of 74914 and 74932?

Greatest common factor (GCF) of 74914 and 74932 is 2.

GCF(74914,74932) = 2

We will now calculate the prime factors of 74914 and 74932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74914 and 74932.

How to find the GCF of 74914 and 74932?

We will first find the prime factorization of 74914 and 74932. After we will calculate the factors of 74914 and 74932 and find the biggest common factor number .

Step-1: Prime Factorization of 74914

Prime factors of 74914 are 2, 7, 5351. Prime factorization of 74914 in exponential form is:

74914 = 2¹ × 7¹ × 5351¹

Step-2: Prime Factorization of 74932

Prime factors of 74932 are 2, 11, 13, 131. Prime factorization of 74932 in exponential form is:

74932 = 2² × 11¹ × 13¹ × 131¹

Step-3: Factors of 74914

List of positive integer factors of 74914 that divides 74914 without a remainder.

1, 2, 7, 14, 5351, 10702, 37457

Step-4: Factors of 74932

List of positive integer factors of 74932 that divides 74914 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 131, 143, 262, 286, 524, 572, 1441, 1703, 2882, 3406, 5764, 6812, 18733, 37466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74914 and 74932. The biggest common factor number is the GCF number.
So the greatest common factor 74914 and 74932 is 2.

Also check out the Least Common Multiple of 74914 and 74932