What is the Greatest Common Factor of 49014 and 49022?

Greatest common factor (GCF) of 49014 and 49022 is 2.

GCF(49014,49022) = 2

We will now calculate the prime factors of 49014 and 49022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49014 and 49022.

How to find the GCF of 49014 and 49022?

We will first find the prime factorization of 49014 and 49022. After we will calculate the factors of 49014 and 49022 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49022

Prime factors of 49022 are 2, 127, 193. Prime factorization of 49022 in exponential form is:

49022 = 2¹ × 127¹ × 193¹

Step-3: Factors of 49014

List of positive integer factors of 49014 that divides 49014 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

Step-4: Factors of 49022

List of positive integer factors of 49022 that divides 49014 without a remainder.

1, 2, 127, 193, 254, 386, 24511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49014 and 49022. The biggest common factor number is the GCF number.
So the greatest common factor 49014 and 49022 is 2.

Also check out the Least Common Multiple of 49014 and 49022