What is the Greatest Common Factor of 74525 and 74536?

Greatest common factor (GCF) of 74525 and 74536 is 11.

GCF(74525,74536) = 11

We will now calculate the prime factors of 74525 and 74536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74525 and 74536.

How to find the GCF of 74525 and 74536?

We will first find the prime factorization of 74525 and 74536. After we will calculate the factors of 74525 and 74536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74536

Prime factors of 74536 are 2, 7, 11. Prime factorization of 74536 in exponential form is:

74536 = 2³ × 7¹ × 11³

Step-3: Factors of 74525

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

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

Step-4: Factors of 74536

List of positive integer factors of 74536 that divides 74525 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1331, 1694, 2662, 3388, 5324, 6776, 9317, 10648, 18634, 37268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74525 and 74536. The biggest common factor number is the GCF number.
So the greatest common factor 74525 and 74536 is 11.

Also check out the Least Common Multiple of 74525 and 74536