What is the Greatest Common Factor of 75642 and 75651?

Greatest common factor (GCF) of 75642 and 75651 is 3.

GCF(75642,75651) = 3

We will now calculate the prime factors of 75642 and 75651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75642 and 75651.

How to find the GCF of 75642 and 75651?

We will first find the prime factorization of 75642 and 75651. After we will calculate the factors of 75642 and 75651 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 75651

Prime factors of 75651 are 3, 151, 167. Prime factorization of 75651 in exponential form is:

75651 = 3¹ × 151¹ × 167¹

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 75651

List of positive integer factors of 75651 that divides 75642 without a remainder.

1, 3, 151, 167, 453, 501, 25217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75642 and 75651. The biggest common factor number is the GCF number.
So the greatest common factor 75642 and 75651 is 3.

Also check out the Least Common Multiple of 75642 and 75651