What is the Greatest Common Factor of 49658 and 49662?

Greatest common factor (GCF) of 49658 and 49662 is 2.

GCF(49658,49662) = 2

We will now calculate the prime factors of 49658 and 49662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49658 and 49662.

How to find the GCF of 49658 and 49662?

We will first find the prime factorization of 49658 and 49662. After we will calculate the factors of 49658 and 49662 and find the biggest common factor number .

Step-1: Prime Factorization of 49658

Prime factors of 49658 are 2, 7, 3547. Prime factorization of 49658 in exponential form is:

49658 = 2¹ × 7¹ × 3547¹

Step-2: Prime Factorization of 49662

Prime factors of 49662 are 2, 3, 31, 89. Prime factorization of 49662 in exponential form is:

49662 = 2¹ × 3² × 31¹ × 89¹

Step-3: Factors of 49658

List of positive integer factors of 49658 that divides 49658 without a remainder.

1, 2, 7, 14, 3547, 7094, 24829

Step-4: Factors of 49662

List of positive integer factors of 49662 that divides 49658 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 89, 93, 178, 186, 267, 279, 534, 558, 801, 1602, 2759, 5518, 8277, 16554, 24831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49658 and 49662. The biggest common factor number is the GCF number.
So the greatest common factor 49658 and 49662 is 2.

Also check out the Least Common Multiple of 49658 and 49662