What is the Greatest Common Factor of 53072 and 53092?

Greatest common factor (GCF) of 53072 and 53092 is 4.

GCF(53072,53092) = 4

We will now calculate the prime factors of 53072 and 53092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53072 and 53092.

How to find the GCF of 53072 and 53092?

We will first find the prime factorization of 53072 and 53092. After we will calculate the factors of 53072 and 53092 and find the biggest common factor number .

Step-1: Prime Factorization of 53072

Prime factors of 53072 are 2, 31, 107. Prime factorization of 53072 in exponential form is:

53072 = 2⁴ × 31¹ × 107¹

Step-2: Prime Factorization of 53092

Prime factors of 53092 are 2, 13, 1021. Prime factorization of 53092 in exponential form is:

53092 = 2² × 13¹ × 1021¹

Step-3: Factors of 53072

List of positive integer factors of 53072 that divides 53072 without a remainder.

1, 2, 4, 8, 16, 31, 62, 107, 124, 214, 248, 428, 496, 856, 1712, 3317, 6634, 13268, 26536

Step-4: Factors of 53092

List of positive integer factors of 53092 that divides 53072 without a remainder.

1, 2, 4, 13, 26, 52, 1021, 2042, 4084, 13273, 26546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53072 and 53092. The biggest common factor number is the GCF number.
So the greatest common factor 53072 and 53092 is 4.

Also check out the Least Common Multiple of 53072 and 53092