What is the Greatest Common Factor of 58380 and 58396?

Greatest common factor (GCF) of 58380 and 58396 is 4.

GCF(58380,58396) = 4

We will now calculate the prime factors of 58380 and 58396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58380 and 58396.

How to find the GCF of 58380 and 58396?

We will first find the prime factorization of 58380 and 58396. After we will calculate the factors of 58380 and 58396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58396

Prime factors of 58396 are 2, 13, 1123. Prime factorization of 58396 in exponential form is:

58396 = 2² × 13¹ × 1123¹

Step-3: Factors of 58380

List of positive integer factors of 58380 that divides 58380 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

Step-4: Factors of 58396

List of positive integer factors of 58396 that divides 58380 without a remainder.

1, 2, 4, 13, 26, 52, 1123, 2246, 4492, 14599, 29198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58380 and 58396. The biggest common factor number is the GCF number.
So the greatest common factor 58380 and 58396 is 4.

Also check out the Least Common Multiple of 58380 and 58396