What is the Greatest Common Factor of 46639 and 46648?

Greatest common factor (GCF) of 46639 and 46648 is 1.

GCF(46639,46648) = 1

We will now calculate the prime factors of 46639 and 46648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46639 and 46648.

How to find the GCF of 46639 and 46648?

We will first find the prime factorization of 46639 and 46648. After we will calculate the factors of 46639 and 46648 and find the biggest common factor number .

Step-1: Prime Factorization of 46639

Prime factors of 46639 are 46639. Prime factorization of 46639 in exponential form is:

46639 = 46639¹

Step-2: Prime Factorization of 46648

Prime factors of 46648 are 2, 7, 17. Prime factorization of 46648 in exponential form is:

46648 = 2³ × 7³ × 17¹

Step-3: Factors of 46639

List of positive integer factors of 46639 that divides 46639 without a remainder.

Step-4: Factors of 46648

List of positive integer factors of 46648 that divides 46639 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 343, 392, 476, 686, 833, 952, 1372, 1666, 2744, 3332, 5831, 6664, 11662, 23324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46639 and 46648. The biggest common factor number is the GCF number.
So the greatest common factor 46639 and 46648 is 1.

Also check out the Least Common Multiple of 46639 and 46648