What is the Greatest Common Factor of 49014 and 49032?

Greatest common factor (GCF) of 49014 and 49032 is 18.

GCF(49014,49032) = 18

We will now calculate the prime factors of 49014 and 49032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49014 and 49032.

How to find the GCF of 49014 and 49032?

We will first find the prime factorization of 49014 and 49032. After we will calculate the factors of 49014 and 49032 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 49032

Prime factors of 49032 are 2, 3, 227. Prime factorization of 49032 in exponential form is:

49032 = 2³ × 3³ × 227¹

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 49032

List of positive integer factors of 49032 that divides 49014 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 4086, 5448, 6129, 8172, 12258, 16344, 24516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49014 and 49032. The biggest common factor number is the GCF number.
So the greatest common factor 49014 and 49032 is 18.

Also check out the Least Common Multiple of 49014 and 49032