What is the Greatest Common Factor of 42053 and 42064?

Greatest common factor (GCF) of 42053 and 42064 is 11.

GCF(42053,42064) = 11

We will now calculate the prime factors of 42053 and 42064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42053 and 42064.

How to find the GCF of 42053 and 42064?

We will first find the prime factorization of 42053 and 42064. After we will calculate the factors of 42053 and 42064 and find the biggest common factor number .

Step-1: Prime Factorization of 42053

Prime factors of 42053 are 11, 3823. Prime factorization of 42053 in exponential form is:

42053 = 11¹ × 3823¹

Step-2: Prime Factorization of 42064

Prime factors of 42064 are 2, 11, 239. Prime factorization of 42064 in exponential form is:

42064 = 2⁴ × 11¹ × 239¹

Step-3: Factors of 42053

List of positive integer factors of 42053 that divides 42053 without a remainder.

1, 11, 3823

Step-4: Factors of 42064

List of positive integer factors of 42064 that divides 42053 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 239, 478, 956, 1912, 2629, 3824, 5258, 10516, 21032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42053 and 42064. The biggest common factor number is the GCF number.
So the greatest common factor 42053 and 42064 is 11.

Also check out the Least Common Multiple of 42053 and 42064