What is the Greatest Common Factor of 49008 and 49014?

Greatest common factor (GCF) of 49008 and 49014 is 6.

GCF(49008,49014) = 6

We will now calculate the prime factors of 49008 and 49014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49008 and 49014.

How to find the GCF of 49008 and 49014?

We will first find the prime factorization of 49008 and 49014. After we will calculate the factors of 49008 and 49014 and find the biggest common factor number .

Step-1: Prime Factorization of 49008

Prime factors of 49008 are 2, 3, 1021. Prime factorization of 49008 in exponential form is:

49008 = 2⁴ × 3¹ × 1021¹

Step-2: Prime Factorization of 49014

Prime factors of 49014 are 2, 3, 7, 389. Prime factorization of 49014 in exponential form is:

49014 = 2¹ × 3² × 7¹ × 389¹

Step-3: Factors of 49008

List of positive integer factors of 49008 that divides 49008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504

Step-4: Factors of 49014

List of positive integer factors of 49014 that divides 49008 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 389, 778, 1167, 2334, 2723, 3501, 5446, 7002, 8169, 16338, 24507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49008 and 49014. The biggest common factor number is the GCF number.
So the greatest common factor 49008 and 49014 is 6.

Also check out the Least Common Multiple of 49008 and 49014