What is the Greatest Common Factor of 60263 and 60277?

Greatest common factor (GCF) of 60263 and 60277 is 7.

GCF(60263,60277) = 7

We will now calculate the prime factors of 60263 and 60277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60263 and 60277.

How to find the GCF of 60263 and 60277?

We will first find the prime factorization of 60263 and 60277. After we will calculate the factors of 60263 and 60277 and find the biggest common factor number .

Step-1: Prime Factorization of 60263

Prime factors of 60263 are 7, 8609. Prime factorization of 60263 in exponential form is:

60263 = 7¹ × 8609¹

Step-2: Prime Factorization of 60277

Prime factors of 60277 are 7, 79, 109. Prime factorization of 60277 in exponential form is:

60277 = 7¹ × 79¹ × 109¹

Step-3: Factors of 60263

List of positive integer factors of 60263 that divides 60263 without a remainder.

1, 7, 8609

Step-4: Factors of 60277

List of positive integer factors of 60277 that divides 60263 without a remainder.

1, 7, 79, 109, 553, 763, 8611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60263 and 60277. The biggest common factor number is the GCF number.
So the greatest common factor 60263 and 60277 is 7.

Also check out the Least Common Multiple of 60263 and 60277