What is the Greatest Common Factor of 49072 and 49088?

Greatest common factor (GCF) of 49072 and 49088 is 16.

GCF(49072,49088) = 16

We will now calculate the prime factors of 49072 and 49088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49072 and 49088.

How to find the GCF of 49072 and 49088?

We will first find the prime factorization of 49072 and 49088. After we will calculate the factors of 49072 and 49088 and find the biggest common factor number .

Step-1: Prime Factorization of 49072

Prime factors of 49072 are 2, 3067. Prime factorization of 49072 in exponential form is:

49072 = 2⁴ × 3067¹

Step-2: Prime Factorization of 49088

Prime factors of 49088 are 2, 13, 59. Prime factorization of 49088 in exponential form is:

49088 = 2⁶ × 13¹ × 59¹

Step-3: Factors of 49072

List of positive integer factors of 49072 that divides 49072 without a remainder.

1, 2, 4, 8, 16, 3067, 6134, 12268, 24536

Step-4: Factors of 49088

List of positive integer factors of 49088 that divides 49072 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 64, 104, 118, 208, 236, 416, 472, 767, 832, 944, 1534, 1888, 3068, 3776, 6136, 12272, 24544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49072 and 49088. The biggest common factor number is the GCF number.
So the greatest common factor 49072 and 49088 is 16.

Also check out the Least Common Multiple of 49072 and 49088