What is the Greatest Common Factor of 46648 and 46662?

Greatest common factor (GCF) of 46648 and 46662 is 14.

GCF(46648,46662) = 14

We will now calculate the prime factors of 46648 and 46662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46648 and 46662.

How to find the GCF of 46648 and 46662?

We will first find the prime factorization of 46648 and 46662. After we will calculate the factors of 46648 and 46662 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46662

Prime factors of 46662 are 2, 3, 7, 11, 101. Prime factorization of 46662 in exponential form is:

46662 = 2¹ × 3¹ × 7¹ × 11¹ × 101¹

Step-3: Factors of 46648

List of positive integer factors of 46648 that divides 46648 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

Step-4: Factors of 46662

List of positive integer factors of 46662 that divides 46648 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 101, 154, 202, 231, 303, 462, 606, 707, 1111, 1414, 2121, 2222, 3333, 4242, 6666, 7777, 15554, 23331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46648 and 46662. The biggest common factor number is the GCF number.
So the greatest common factor 46648 and 46662 is 14.

Also check out the Least Common Multiple of 46648 and 46662