What is the Greatest Common Factor of 65072 and 65077?

Greatest common factor (GCF) of 65072 and 65077 is 1.

GCF(65072,65077) = 1

We will now calculate the prime factors of 65072 and 65077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65072 and 65077.

How to find the GCF of 65072 and 65077?

We will first find the prime factorization of 65072 and 65077. After we will calculate the factors of 65072 and 65077 and find the biggest common factor number .

Step-1: Prime Factorization of 65072

Prime factors of 65072 are 2, 7, 83. Prime factorization of 65072 in exponential form is:

65072 = 2⁴ × 7² × 83¹

Step-2: Prime Factorization of 65077

Prime factors of 65077 are 59, 1103. Prime factorization of 65077 in exponential form is:

65077 = 59¹ × 1103¹

Step-3: Factors of 65072

List of positive integer factors of 65072 that divides 65072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 83, 98, 112, 166, 196, 332, 392, 581, 664, 784, 1162, 1328, 2324, 4067, 4648, 8134, 9296, 16268, 32536

Step-4: Factors of 65077

List of positive integer factors of 65077 that divides 65072 without a remainder.

1, 59, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65072 and 65077. The biggest common factor number is the GCF number.
So the greatest common factor 65072 and 65077 is 1.

Also check out the Least Common Multiple of 65072 and 65077