What is the Greatest Common Factor of 53714 and 53720?

Greatest common factor (GCF) of 53714 and 53720 is 2.

GCF(53714,53720) = 2

We will now calculate the prime factors of 53714 and 53720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53714 and 53720.

How to find the GCF of 53714 and 53720?

We will first find the prime factorization of 53714 and 53720. After we will calculate the factors of 53714 and 53720 and find the biggest common factor number .

Step-1: Prime Factorization of 53714

Prime factors of 53714 are 2, 107, 251. Prime factorization of 53714 in exponential form is:

53714 = 2¹ × 107¹ × 251¹

Step-2: Prime Factorization of 53720

Prime factors of 53720 are 2, 5, 17, 79. Prime factorization of 53720 in exponential form is:

53720 = 2³ × 5¹ × 17¹ × 79¹

Step-3: Factors of 53714

List of positive integer factors of 53714 that divides 53714 without a remainder.

1, 2, 107, 214, 251, 502, 26857

Step-4: Factors of 53720

List of positive integer factors of 53720 that divides 53714 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 79, 85, 136, 158, 170, 316, 340, 395, 632, 680, 790, 1343, 1580, 2686, 3160, 5372, 6715, 10744, 13430, 26860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53714 and 53720. The biggest common factor number is the GCF number.
So the greatest common factor 53714 and 53720 is 2.

Also check out the Least Common Multiple of 53714 and 53720