What is the Greatest Common Factor of 53076 and 53088?

Greatest common factor (GCF) of 53076 and 53088 is 12.

GCF(53076,53088) = 12

We will now calculate the prime factors of 53076 and 53088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53076 and 53088.

How to find the GCF of 53076 and 53088?

We will first find the prime factorization of 53076 and 53088. After we will calculate the factors of 53076 and 53088 and find the biggest common factor number .

Step-1: Prime Factorization of 53076

Prime factors of 53076 are 2, 3, 4423. Prime factorization of 53076 in exponential form is:

53076 = 2² × 3¹ × 4423¹

Step-2: Prime Factorization of 53088

Prime factors of 53088 are 2, 3, 7, 79. Prime factorization of 53088 in exponential form is:

53088 = 2⁵ × 3¹ × 7¹ × 79¹

Step-3: Factors of 53076

List of positive integer factors of 53076 that divides 53076 without a remainder.

1, 2, 3, 4, 6, 12, 4423, 8846, 13269, 17692, 26538

Step-4: Factors of 53088

List of positive integer factors of 53088 that divides 53076 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 79, 84, 96, 112, 158, 168, 224, 237, 316, 336, 474, 553, 632, 672, 948, 1106, 1264, 1659, 1896, 2212, 2528, 3318, 3792, 4424, 6636, 7584, 8848, 13272, 17696, 26544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53076 and 53088. The biggest common factor number is the GCF number.
So the greatest common factor 53076 and 53088 is 12.

Also check out the Least Common Multiple of 53076 and 53088