What is the Greatest Common Factor of 75642 and 75656?

Greatest common factor (GCF) of 75642 and 75656 is 14.

GCF(75642,75656) = 14

We will now calculate the prime factors of 75642 and 75656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75642 and 75656.

How to find the GCF of 75642 and 75656?

We will first find the prime factorization of 75642 and 75656. After we will calculate the factors of 75642 and 75656 and find the biggest common factor number .

Step-1: Prime Factorization of 75642

Prime factors of 75642 are 2, 3, 7, 1801. Prime factorization of 75642 in exponential form is:

75642 = 2¹ × 3¹ × 7¹ × 1801¹

Step-2: Prime Factorization of 75656

Prime factors of 75656 are 2, 7, 193. Prime factorization of 75656 in exponential form is:

75656 = 2³ × 7² × 193¹

Step-3: Factors of 75642

List of positive integer factors of 75642 that divides 75642 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1801, 3602, 5403, 10806, 12607, 25214, 37821

Step-4: Factors of 75656

List of positive integer factors of 75656 that divides 75642 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 193, 196, 386, 392, 772, 1351, 1544, 2702, 5404, 9457, 10808, 18914, 37828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75642 and 75656. The biggest common factor number is the GCF number.
So the greatest common factor 75642 and 75656 is 14.

Also check out the Least Common Multiple of 75642 and 75656