What is the Greatest Common Factor of 46634 and 46648?

Greatest common factor (GCF) of 46634 and 46648 is 14.

GCF(46634,46648) = 14

We will now calculate the prime factors of 46634 and 46648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46634 and 46648.

How to find the GCF of 46634 and 46648?

We will first find the prime factorization of 46634 and 46648. After we will calculate the factors of 46634 and 46648 and find the biggest common factor number .

Step-1: Prime Factorization of 46634

Prime factors of 46634 are 2, 7, 3331. Prime factorization of 46634 in exponential form is:

46634 = 2¹ × 7¹ × 3331¹

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 46634

List of positive integer factors of 46634 that divides 46634 without a remainder.

1, 2, 7, 14, 3331, 6662, 23317

Step-4: Factors of 46648

List of positive integer factors of 46648 that divides 46634 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 46634 and 46648. The biggest common factor number is the GCF number.
So the greatest common factor 46634 and 46648 is 14.

Also check out the Least Common Multiple of 46634 and 46648