What is the Greatest Common Factor of 53774 and 53788?

Greatest common factor (GCF) of 53774 and 53788 is 14.

GCF(53774,53788) = 14

We will now calculate the prime factors of 53774 and 53788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53774 and 53788.

How to find the GCF of 53774 and 53788?

We will first find the prime factorization of 53774 and 53788. After we will calculate the factors of 53774 and 53788 and find the biggest common factor number .

Step-1: Prime Factorization of 53774

Prime factors of 53774 are 2, 7, 23, 167. Prime factorization of 53774 in exponential form is:

53774 = 2¹ × 7¹ × 23¹ × 167¹

Step-2: Prime Factorization of 53788

Prime factors of 53788 are 2, 7, 17, 113. Prime factorization of 53788 in exponential form is:

53788 = 2² × 7¹ × 17¹ × 113¹

Step-3: Factors of 53774

List of positive integer factors of 53774 that divides 53774 without a remainder.

1, 2, 7, 14, 23, 46, 161, 167, 322, 334, 1169, 2338, 3841, 7682, 26887

Step-4: Factors of 53788

List of positive integer factors of 53788 that divides 53774 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 113, 119, 226, 238, 452, 476, 791, 1582, 1921, 3164, 3842, 7684, 13447, 26894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53774 and 53788. The biggest common factor number is the GCF number.
So the greatest common factor 53774 and 53788 is 14.

Also check out the Least Common Multiple of 53774 and 53788