What is the Greatest Common Factor of 71016 and 71025?

Greatest common factor (GCF) of 71016 and 71025 is 3.

GCF(71016,71025) = 3

We will now calculate the prime factors of 71016 and 71025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71016 and 71025.

How to find the GCF of 71016 and 71025?

We will first find the prime factorization of 71016 and 71025. After we will calculate the factors of 71016 and 71025 and find the biggest common factor number .

Step-1: Prime Factorization of 71016

Prime factors of 71016 are 2, 3, 11, 269. Prime factorization of 71016 in exponential form is:

71016 = 2³ × 3¹ × 11¹ × 269¹

Step-2: Prime Factorization of 71025

Prime factors of 71025 are 3, 5, 947. Prime factorization of 71025 in exponential form is:

71025 = 3¹ × 5² × 947¹

Step-3: Factors of 71016

List of positive integer factors of 71016 that divides 71016 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 269, 538, 807, 1076, 1614, 2152, 2959, 3228, 5918, 6456, 8877, 11836, 17754, 23672, 35508

Step-4: Factors of 71025

List of positive integer factors of 71025 that divides 71016 without a remainder.

1, 3, 5, 15, 25, 75, 947, 2841, 4735, 14205, 23675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71016 and 71025. The biggest common factor number is the GCF number.
So the greatest common factor 71016 and 71025 is 3.

Also check out the Least Common Multiple of 71016 and 71025