What is the Greatest Common Factor of 48072 and 48076?

Greatest common factor (GCF) of 48072 and 48076 is 4.

GCF(48072,48076) = 4

We will now calculate the prime factors of 48072 and 48076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48072 and 48076.

How to find the GCF of 48072 and 48076?

We will first find the prime factorization of 48072 and 48076. After we will calculate the factors of 48072 and 48076 and find the biggest common factor number .

Step-1: Prime Factorization of 48072

Prime factors of 48072 are 2, 3, 2003. Prime factorization of 48072 in exponential form is:

48072 = 2³ × 3¹ × 2003¹

Step-2: Prime Factorization of 48076

Prime factors of 48076 are 2, 7, 17, 101. Prime factorization of 48076 in exponential form is:

48076 = 2² × 7¹ × 17¹ × 101¹

Step-3: Factors of 48072

List of positive integer factors of 48072 that divides 48072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006, 6009, 8012, 12018, 16024, 24036

Step-4: Factors of 48076

List of positive integer factors of 48076 that divides 48072 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 101, 119, 202, 238, 404, 476, 707, 1414, 1717, 2828, 3434, 6868, 12019, 24038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48072 and 48076. The biggest common factor number is the GCF number.
So the greatest common factor 48072 and 48076 is 4.

Also check out the Least Common Multiple of 48072 and 48076