What is the Greatest Common Factor of 75053 and 75064?

Greatest common factor (GCF) of 75053 and 75064 is 11.

GCF(75053,75064) = 11

We will now calculate the prime factors of 75053 and 75064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75053 and 75064.

How to find the GCF of 75053 and 75064?

We will first find the prime factorization of 75053 and 75064. After we will calculate the factors of 75053 and 75064 and find the biggest common factor number .

Step-1: Prime Factorization of 75053

Prime factors of 75053 are 11, 6823. Prime factorization of 75053 in exponential form is:

75053 = 11¹ × 6823¹

Step-2: Prime Factorization of 75064

Prime factors of 75064 are 2, 11, 853. Prime factorization of 75064 in exponential form is:

75064 = 2³ × 11¹ × 853¹

Step-3: Factors of 75053

List of positive integer factors of 75053 that divides 75053 without a remainder.

1, 11, 6823

Step-4: Factors of 75064

List of positive integer factors of 75064 that divides 75053 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 853, 1706, 3412, 6824, 9383, 18766, 37532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75053 and 75064. The biggest common factor number is the GCF number.
So the greatest common factor 75053 and 75064 is 11.

Also check out the Least Common Multiple of 75053 and 75064