What is the Greatest Common Factor of 49686 and 49692?

Greatest common factor (GCF) of 49686 and 49692 is 6.

GCF(49686,49692) = 6

We will now calculate the prime factors of 49686 and 49692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49686 and 49692.

How to find the GCF of 49686 and 49692?

We will first find the prime factorization of 49686 and 49692. After we will calculate the factors of 49686 and 49692 and find the biggest common factor number .

Step-1: Prime Factorization of 49686

Prime factors of 49686 are 2, 3, 7, 13. Prime factorization of 49686 in exponential form is:

49686 = 2¹ × 3¹ × 7² × 13²

Step-2: Prime Factorization of 49692

Prime factors of 49692 are 2, 3, 41, 101. Prime factorization of 49692 in exponential form is:

49692 = 2² × 3¹ × 41¹ × 101¹

Step-3: Factors of 49686

List of positive integer factors of 49686 that divides 49686 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 169, 182, 273, 294, 338, 507, 546, 637, 1014, 1183, 1274, 1911, 2366, 3549, 3822, 7098, 8281, 16562, 24843

Step-4: Factors of 49692

List of positive integer factors of 49692 that divides 49686 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 101, 123, 164, 202, 246, 303, 404, 492, 606, 1212, 4141, 8282, 12423, 16564, 24846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49686 and 49692. The biggest common factor number is the GCF number.
So the greatest common factor 49686 and 49692 is 6.

Also check out the Least Common Multiple of 49686 and 49692