What is the Greatest Common Factor of 75492 and 75507?

Greatest common factor (GCF) of 75492 and 75507 is 3.

GCF(75492,75507) = 3

We will now calculate the prime factors of 75492 and 75507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75492 and 75507.

How to find the GCF of 75492 and 75507?

We will first find the prime factorization of 75492 and 75507. After we will calculate the factors of 75492 and 75507 and find the biggest common factor number .

Step-1: Prime Factorization of 75492

Prime factors of 75492 are 2, 3, 233. Prime factorization of 75492 in exponential form is:

75492 = 2² × 3⁴ × 233¹

Step-2: Prime Factorization of 75507

Prime factors of 75507 are 3, 25169. Prime factorization of 75507 in exponential form is:

75507 = 3¹ × 25169¹

Step-3: Factors of 75492

List of positive integer factors of 75492 that divides 75492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 233, 324, 466, 699, 932, 1398, 2097, 2796, 4194, 6291, 8388, 12582, 18873, 25164, 37746

Step-4: Factors of 75507

List of positive integer factors of 75507 that divides 75492 without a remainder.

1, 3, 25169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75492 and 75507. The biggest common factor number is the GCF number.
So the greatest common factor 75492 and 75507 is 3.

Also check out the Least Common Multiple of 75492 and 75507