What is the Greatest Common Factor of 49712 and 49720?

Greatest common factor (GCF) of 49712 and 49720 is 8.

GCF(49712,49720) = 8

We will now calculate the prime factors of 49712 and 49720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49712 and 49720.

How to find the GCF of 49712 and 49720?

We will first find the prime factorization of 49712 and 49720. After we will calculate the factors of 49712 and 49720 and find the biggest common factor number .

Step-1: Prime Factorization of 49712

Prime factors of 49712 are 2, 13, 239. Prime factorization of 49712 in exponential form is:

49712 = 2⁴ × 13¹ × 239¹

Step-2: Prime Factorization of 49720

Prime factors of 49720 are 2, 5, 11, 113. Prime factorization of 49720 in exponential form is:

49720 = 2³ × 5¹ × 11¹ × 113¹

Step-3: Factors of 49712

List of positive integer factors of 49712 that divides 49712 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 239, 478, 956, 1912, 3107, 3824, 6214, 12428, 24856

Step-4: Factors of 49720

List of positive integer factors of 49720 that divides 49712 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 113, 220, 226, 440, 452, 565, 904, 1130, 1243, 2260, 2486, 4520, 4972, 6215, 9944, 12430, 24860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49712 and 49720. The biggest common factor number is the GCF number.
So the greatest common factor 49712 and 49720 is 8.

Also check out the Least Common Multiple of 49712 and 49720