What is the Greatest Common Factor of 46642 and 46648?

Greatest common factor (GCF) of 46642 and 46648 is 2.

GCF(46642,46648) = 2

We will now calculate the prime factors of 46642 and 46648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46642 and 46648.

How to find the GCF of 46642 and 46648?

We will first find the prime factorization of 46642 and 46648. After we will calculate the factors of 46642 and 46648 and find the biggest common factor number .

Step-1: Prime Factorization of 46642

Prime factors of 46642 are 2, 23321. Prime factorization of 46642 in exponential form is:

46642 = 2¹ × 23321¹

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 46642

List of positive integer factors of 46642 that divides 46642 without a remainder.

1, 2, 23321

Step-4: Factors of 46648

List of positive integer factors of 46648 that divides 46642 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 46642 and 46648. The biggest common factor number is the GCF number.
So the greatest common factor 46642 and 46648 is 2.

Also check out the Least Common Multiple of 46642 and 46648