What is the Greatest Common Factor of 59052 and 59072?

Greatest common factor (GCF) of 59052 and 59072 is 4.

GCF(59052,59072) = 4

We will now calculate the prime factors of 59052 and 59072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59052 and 59072.

How to find the GCF of 59052 and 59072?

We will first find the prime factorization of 59052 and 59072. After we will calculate the factors of 59052 and 59072 and find the biggest common factor number .

Step-1: Prime Factorization of 59052

Prime factors of 59052 are 2, 3, 7, 19, 37. Prime factorization of 59052 in exponential form is:

59052 = 2² × 3¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 59072

Prime factors of 59072 are 2, 13, 71. Prime factorization of 59072 in exponential form is:

59072 = 2⁶ × 13¹ × 71¹

Step-3: Factors of 59052

List of positive integer factors of 59052 that divides 59052 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 37, 38, 42, 57, 74, 76, 84, 111, 114, 133, 148, 222, 228, 259, 266, 399, 444, 518, 532, 703, 777, 798, 1036, 1406, 1554, 1596, 2109, 2812, 3108, 4218, 4921, 8436, 9842, 14763, 19684, 29526

Step-4: Factors of 59072

List of positive integer factors of 59072 that divides 59052 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 71, 104, 142, 208, 284, 416, 568, 832, 923, 1136, 1846, 2272, 3692, 4544, 7384, 14768, 29536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59052 and 59072. The biggest common factor number is the GCF number.
So the greatest common factor 59052 and 59072 is 4.

Also check out the Least Common Multiple of 59052 and 59072