What is the Greatest Common Factor of 59421 and 59435?

Greatest common factor (GCF) of 59421 and 59435 is 1.

GCF(59421,59435) = 1

We will now calculate the prime factors of 59421 and 59435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59421 and 59435.

How to find the GCF of 59421 and 59435?

We will first find the prime factorization of 59421 and 59435. After we will calculate the factors of 59421 and 59435 and find the biggest common factor number .

Step-1: Prime Factorization of 59421

Prime factors of 59421 are 3, 29, 683. Prime factorization of 59421 in exponential form is:

59421 = 3¹ × 29¹ × 683¹

Step-2: Prime Factorization of 59435

Prime factors of 59435 are 5, 11887. Prime factorization of 59435 in exponential form is:

59435 = 5¹ × 11887¹

Step-3: Factors of 59421

List of positive integer factors of 59421 that divides 59421 without a remainder.

1, 3, 29, 87, 683, 2049, 19807

Step-4: Factors of 59435

List of positive integer factors of 59435 that divides 59421 without a remainder.

1, 5, 11887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59421 and 59435. The biggest common factor number is the GCF number.
So the greatest common factor 59421 and 59435 is 1.

Also check out the Least Common Multiple of 59421 and 59435