What is the Greatest Common Factor of 7654 and 7672?

Greatest common factor (GCF) of 7654 and 7672 is 2.

GCF(7654,7672) = 2

We will now calculate the prime factors of 7654 and 7672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7654 and 7672.

How to find the GCF of 7654 and 7672?

We will first find the prime factorization of 7654 and 7672. After we will calculate the factors of 7654 and 7672 and find the biggest common factor number .

Step-1: Prime Factorization of 7654

Prime factors of 7654 are 2, 43, 89. Prime factorization of 7654 in exponential form is:

7654 = 2¹ × 43¹ × 89¹

Step-2: Prime Factorization of 7672

Prime factors of 7672 are 2, 7, 137. Prime factorization of 7672 in exponential form is:

7672 = 2³ × 7¹ × 137¹

Step-3: Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1, 2, 43, 86, 89, 178, 3827

Step-4: Factors of 7672

List of positive integer factors of 7672 that divides 7654 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7654 and 7672. The biggest common factor number is the GCF number.
So the greatest common factor 7654 and 7672 is 2.

Also check out the Least Common Multiple of 7654 and 7672