What is the Greatest Common Factor of 58369 and 58380?

Greatest common factor (GCF) of 58369 and 58380 is 1.

GCF(58369,58380) = 1

We will now calculate the prime factors of 58369 and 58380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58369 and 58380.

How to find the GCF of 58369 and 58380?

We will first find the prime factorization of 58369 and 58380. After we will calculate the factors of 58369 and 58380 and find the biggest common factor number .

Step-1: Prime Factorization of 58369

Prime factors of 58369 are 58369. Prime factorization of 58369 in exponential form is:

58369 = 58369¹

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 58369

List of positive integer factors of 58369 that divides 58369 without a remainder.

Step-4: Factors of 58380

List of positive integer factors of 58380 that divides 58369 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 58369 and 58380. The biggest common factor number is the GCF number.
So the greatest common factor 58369 and 58380 is 1.

Also check out the Least Common Multiple of 58369 and 58380