What is the Greatest Common Factor of 96014 and 96031?

Greatest common factor (GCF) of 96014 and 96031 is 1.

GCF(96014,96031) = 1

We will now calculate the prime factors of 96014 and 96031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96014 and 96031.

How to find the GCF of 96014 and 96031?

We will first find the prime factorization of 96014 and 96031. After we will calculate the factors of 96014 and 96031 and find the biggest common factor number .

Step-1: Prime Factorization of 96014

Prime factors of 96014 are 2, 61, 787. Prime factorization of 96014 in exponential form is:

96014 = 2¹ × 61¹ × 787¹

Step-2: Prime Factorization of 96031

Prime factors of 96031 are 13, 83, 89. Prime factorization of 96031 in exponential form is:

96031 = 13¹ × 83¹ × 89¹

Step-3: Factors of 96014

List of positive integer factors of 96014 that divides 96014 without a remainder.

1, 2, 61, 122, 787, 1574, 48007

Step-4: Factors of 96031

List of positive integer factors of 96031 that divides 96014 without a remainder.

1, 13, 83, 89, 1079, 1157, 7387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96014 and 96031. The biggest common factor number is the GCF number.
So the greatest common factor 96014 and 96031 is 1.

Also check out the Least Common Multiple of 96014 and 96031