What is the Greatest Common Factor of 63072 and 63092?

Greatest common factor (GCF) of 63072 and 63092 is 4.

GCF(63072,63092) = 4

We will now calculate the prime factors of 63072 and 63092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63072 and 63092.

How to find the GCF of 63072 and 63092?

We will first find the prime factorization of 63072 and 63092. After we will calculate the factors of 63072 and 63092 and find the biggest common factor number .

Step-1: Prime Factorization of 63072

Prime factors of 63072 are 2, 3, 73. Prime factorization of 63072 in exponential form is:

63072 = 2⁵ × 3³ × 73¹

Step-2: Prime Factorization of 63092

Prime factors of 63092 are 2, 15773. Prime factorization of 63092 in exponential form is:

63092 = 2² × 15773¹

Step-3: Factors of 63072

List of positive integer factors of 63072 that divides 63072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 73, 96, 108, 144, 146, 216, 219, 288, 292, 432, 438, 584, 657, 864, 876, 1168, 1314, 1752, 1971, 2336, 2628, 3504, 3942, 5256, 7008, 7884, 10512, 15768, 21024, 31536

Step-4: Factors of 63092

List of positive integer factors of 63092 that divides 63072 without a remainder.

1, 2, 4, 15773, 31546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63072 and 63092. The biggest common factor number is the GCF number.
So the greatest common factor 63072 and 63092 is 4.

Also check out the Least Common Multiple of 63072 and 63092