What is the Greatest Common Factor of 49001 and 49014?

Greatest common factor (GCF) of 49001 and 49014 is 1.

GCF(49001,49014) = 1

We will now calculate the prime factors of 49001 and 49014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49001 and 49014.

How to find the GCF of 49001 and 49014?

We will first find the prime factorization of 49001 and 49014. After we will calculate the factors of 49001 and 49014 and find the biggest common factor number .

Step-1: Prime Factorization of 49001

Prime factors of 49001 are 19, 2579. Prime factorization of 49001 in exponential form is:

49001 = 19¹ × 2579¹

Step-2: Prime Factorization of 49014

Prime factors of 49014 are 2, 3, 7, 389. Prime factorization of 49014 in exponential form is:

49014 = 2¹ × 3² × 7¹ × 389¹

Step-3: Factors of 49001

List of positive integer factors of 49001 that divides 49001 without a remainder.

1, 19, 2579

Step-4: Factors of 49014

List of positive integer factors of 49014 that divides 49001 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 389, 778, 1167, 2334, 2723, 3501, 5446, 7002, 8169, 16338, 24507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49001 and 49014. The biggest common factor number is the GCF number.
So the greatest common factor 49001 and 49014 is 1.

Also check out the Least Common Multiple of 49001 and 49014