What is the Greatest Common Factor of 58364 and 58380?

Greatest common factor (GCF) of 58364 and 58380 is 4.

GCF(58364,58380) = 4

We will now calculate the prime factors of 58364 and 58380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58364 and 58380.

How to find the GCF of 58364 and 58380?

We will first find the prime factorization of 58364 and 58380. After we will calculate the factors of 58364 and 58380 and find the biggest common factor number .

Step-1: Prime Factorization of 58364

Prime factors of 58364 are 2, 14591. Prime factorization of 58364 in exponential form is:

58364 = 2² × 14591¹

Step-2: Prime Factorization of 58380

Prime factors of 58380 are 2, 3, 5, 7, 139. Prime factorization of 58380 in exponential form is:

58380 = 2² × 3¹ × 5¹ × 7¹ × 139¹

Step-3: Factors of 58364

List of positive integer factors of 58364 that divides 58364 without a remainder.

1, 2, 4, 14591, 29182

Step-4: Factors of 58380

List of positive integer factors of 58380 that divides 58364 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 139, 140, 210, 278, 417, 420, 556, 695, 834, 973, 1390, 1668, 1946, 2085, 2780, 2919, 3892, 4170, 4865, 5838, 8340, 9730, 11676, 14595, 19460, 29190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58364 and 58380. The biggest common factor number is the GCF number.
So the greatest common factor 58364 and 58380 is 4.

Also check out the Least Common Multiple of 58364 and 58380