What is the Greatest Common Factor of 74514 and 74525?

Greatest common factor (GCF) of 74514 and 74525 is 11.

GCF(74514,74525) = 11

We will now calculate the prime factors of 74514 and 74525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74514 and 74525.

How to find the GCF of 74514 and 74525?

We will first find the prime factorization of 74514 and 74525. After we will calculate the factors of 74514 and 74525 and find the biggest common factor number .

Step-1: Prime Factorization of 74514

Prime factors of 74514 are 2, 3, 11, 1129. Prime factorization of 74514 in exponential form is:

74514 = 2¹ × 3¹ × 11¹ × 1129¹

Step-2: Prime Factorization of 74525

Prime factors of 74525 are 5, 11, 271. Prime factorization of 74525 in exponential form is:

74525 = 5² × 11¹ × 271¹

Step-3: Factors of 74514

List of positive integer factors of 74514 that divides 74514 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1129, 2258, 3387, 6774, 12419, 24838, 37257

Step-4: Factors of 74525

List of positive integer factors of 74525 that divides 74514 without a remainder.

1, 5, 11, 25, 55, 271, 275, 1355, 2981, 6775, 14905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74514 and 74525. The biggest common factor number is the GCF number.
So the greatest common factor 74514 and 74525 is 11.

Also check out the Least Common Multiple of 74514 and 74525