What is the Greatest Common Factor of 58758 and 58765?

Greatest common factor (GCF) of 58758 and 58765 is 7.

GCF(58758,58765) = 7

We will now calculate the prime factors of 58758 and 58765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58758 and 58765.

How to find the GCF of 58758 and 58765?

We will first find the prime factorization of 58758 and 58765. After we will calculate the factors of 58758 and 58765 and find the biggest common factor number .

Step-1: Prime Factorization of 58758

Prime factors of 58758 are 2, 3, 7, 1399. Prime factorization of 58758 in exponential form is:

58758 = 2¹ × 3¹ × 7¹ × 1399¹

Step-2: Prime Factorization of 58765

Prime factors of 58765 are 5, 7, 23, 73. Prime factorization of 58765 in exponential form is:

58765 = 5¹ × 7¹ × 23¹ × 73¹

Step-3: Factors of 58758

List of positive integer factors of 58758 that divides 58758 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1399, 2798, 4197, 8394, 9793, 19586, 29379

Step-4: Factors of 58765

List of positive integer factors of 58765 that divides 58758 without a remainder.

1, 5, 7, 23, 35, 73, 115, 161, 365, 511, 805, 1679, 2555, 8395, 11753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58758 and 58765. The biggest common factor number is the GCF number.
So the greatest common factor 58758 and 58765 is 7.

Also check out the Least Common Multiple of 58758 and 58765