What is the Greatest Common Factor of 49644 and 49658?

Greatest common factor (GCF) of 49644 and 49658 is 14.

GCF(49644,49658) = 14

We will now calculate the prime factors of 49644 and 49658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49644 and 49658.

How to find the GCF of 49644 and 49658?

We will first find the prime factorization of 49644 and 49658. After we will calculate the factors of 49644 and 49658 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 49658

Prime factors of 49658 are 2, 7, 3547. Prime factorization of 49658 in exponential form is:

49658 = 2¹ × 7¹ × 3547¹

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 49658

List of positive integer factors of 49658 that divides 49644 without a remainder.

1, 2, 7, 14, 3547, 7094, 24829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49644 and 49658. The biggest common factor number is the GCF number.
So the greatest common factor 49644 and 49658 is 14.

Also check out the Least Common Multiple of 49644 and 49658