What is the Greatest Common Factor of 31052 and 31060?

Greatest common factor (GCF) of 31052 and 31060 is 4.

GCF(31052,31060) = 4

We will now calculate the prime factors of 31052 and 31060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31052 and 31060.

How to find the GCF of 31052 and 31060?

We will first find the prime factorization of 31052 and 31060. After we will calculate the factors of 31052 and 31060 and find the biggest common factor number .

Step-1: Prime Factorization of 31052

Prime factors of 31052 are 2, 7, 1109. Prime factorization of 31052 in exponential form is:

31052 = 2² × 7¹ × 1109¹

Step-2: Prime Factorization of 31060

Prime factors of 31060 are 2, 5, 1553. Prime factorization of 31060 in exponential form is:

31060 = 2² × 5¹ × 1553¹

Step-3: Factors of 31052

List of positive integer factors of 31052 that divides 31052 without a remainder.

1, 2, 4, 7, 14, 28, 1109, 2218, 4436, 7763, 15526

Step-4: Factors of 31060

List of positive integer factors of 31060 that divides 31052 without a remainder.

1, 2, 4, 5, 10, 20, 1553, 3106, 6212, 7765, 15530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31052 and 31060. The biggest common factor number is the GCF number.
So the greatest common factor 31052 and 31060 is 4.

Also check out the Least Common Multiple of 31052 and 31060