What is the Greatest Common Factor of 49644 and 49651?

Greatest common factor (GCF) of 49644 and 49651 is 7.

GCF(49644,49651) = 7

We will now calculate the prime factors of 49644 and 49651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49644 and 49651.

How to find the GCF of 49644 and 49651?

We will first find the prime factorization of 49644 and 49651. After we will calculate the factors of 49644 and 49651 and find the biggest common factor number .

Step-1: Prime Factorization of 49644

Prime factors of 49644 are 2, 3, 7, 197. Prime factorization of 49644 in exponential form is:

49644 = 2² × 3² × 7¹ × 197¹

Step-2: Prime Factorization of 49651

Prime factors of 49651 are 7, 41, 173. Prime factorization of 49651 in exponential form is:

49651 = 7¹ × 41¹ × 173¹

Step-3: Factors of 49644

List of positive integer factors of 49644 that divides 49644 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 197, 252, 394, 591, 788, 1182, 1379, 1773, 2364, 2758, 3546, 4137, 5516, 7092, 8274, 12411, 16548, 24822

Step-4: Factors of 49651

List of positive integer factors of 49651 that divides 49644 without a remainder.

1, 7, 41, 173, 287, 1211, 7093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49644 and 49651. The biggest common factor number is the GCF number.
So the greatest common factor 49644 and 49651 is 7.

Also check out the Least Common Multiple of 49644 and 49651