What is the Greatest Common Factor of 49296 and 49301?

Greatest common factor (GCF) of 49296 and 49301 is 1.

GCF(49296,49301) = 1

We will now calculate the prime factors of 49296 and 49301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49296 and 49301.

How to find the GCF of 49296 and 49301?

We will first find the prime factorization of 49296 and 49301. After we will calculate the factors of 49296 and 49301 and find the biggest common factor number .

Step-1: Prime Factorization of 49296

Prime factors of 49296 are 2, 3, 13, 79. Prime factorization of 49296 in exponential form is:

49296 = 2⁴ × 3¹ × 13¹ × 79¹

Step-2: Prime Factorization of 49301

Prime factors of 49301 are 7, 7043. Prime factorization of 49301 in exponential form is:

49301 = 7¹ × 7043¹

Step-3: Factors of 49296

List of positive integer factors of 49296 that divides 49296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 79, 104, 156, 158, 208, 237, 312, 316, 474, 624, 632, 948, 1027, 1264, 1896, 2054, 3081, 3792, 4108, 6162, 8216, 12324, 16432, 24648

Step-4: Factors of 49301

List of positive integer factors of 49301 that divides 49296 without a remainder.

1, 7, 7043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49296 and 49301. The biggest common factor number is the GCF number.
So the greatest common factor 49296 and 49301 is 1.

Also check out the Least Common Multiple of 49296 and 49301