What is the Greatest Common Factor of 85052 and 85064?

Greatest common factor (GCF) of 85052 and 85064 is 4.

GCF(85052,85064) = 4

We will now calculate the prime factors of 85052 and 85064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85052 and 85064.

How to find the GCF of 85052 and 85064?

We will first find the prime factorization of 85052 and 85064. After we will calculate the factors of 85052 and 85064 and find the biggest common factor number .

Step-1: Prime Factorization of 85052

Prime factors of 85052 are 2, 11, 1933. Prime factorization of 85052 in exponential form is:

85052 = 2² × 11¹ × 1933¹

Step-2: Prime Factorization of 85064

Prime factors of 85064 are 2, 7, 31. Prime factorization of 85064 in exponential form is:

85064 = 2³ × 7³ × 31¹

Step-3: Factors of 85052

List of positive integer factors of 85052 that divides 85052 without a remainder.

1, 2, 4, 11, 22, 44, 1933, 3866, 7732, 21263, 42526

Step-4: Factors of 85064

List of positive integer factors of 85064 that divides 85052 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 49, 56, 62, 98, 124, 196, 217, 248, 343, 392, 434, 686, 868, 1372, 1519, 1736, 2744, 3038, 6076, 10633, 12152, 21266, 42532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85052 and 85064. The biggest common factor number is the GCF number.
So the greatest common factor 85052 and 85064 is 4.

Also check out the Least Common Multiple of 85052 and 85064