What is the Greatest Common Factor of 49679 and 49686?

Greatest common factor (GCF) of 49679 and 49686 is 7.

GCF(49679,49686) = 7

We will now calculate the prime factors of 49679 and 49686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49679 and 49686.

How to find the GCF of 49679 and 49686?

We will first find the prime factorization of 49679 and 49686. After we will calculate the factors of 49679 and 49686 and find the biggest common factor number .

Step-1: Prime Factorization of 49679

Prime factors of 49679 are 7, 47, 151. Prime factorization of 49679 in exponential form is:

49679 = 7¹ × 47¹ × 151¹

Step-2: 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-3: Factors of 49679

List of positive integer factors of 49679 that divides 49679 without a remainder.

1, 7, 47, 151, 329, 1057, 7097

Step-4: Factors of 49686

List of positive integer factors of 49686 that divides 49679 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49679 and 49686. The biggest common factor number is the GCF number.
So the greatest common factor 49679 and 49686 is 7.

Also check out the Least Common Multiple of 49679 and 49686