What is the Greatest Common Factor of 71029 and 71036?

Greatest common factor (GCF) of 71029 and 71036 is 7.

GCF(71029,71036) = 7

We will now calculate the prime factors of 71029 and 71036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71029 and 71036.

How to find the GCF of 71029 and 71036?

We will first find the prime factorization of 71029 and 71036. After we will calculate the factors of 71029 and 71036 and find the biggest common factor number .

Step-1: Prime Factorization of 71029

Prime factors of 71029 are 7, 73, 139. Prime factorization of 71029 in exponential form is:

71029 = 7¹ × 73¹ × 139¹

Step-2: Prime Factorization of 71036

Prime factors of 71036 are 2, 7, 43, 59. Prime factorization of 71036 in exponential form is:

71036 = 2² × 7¹ × 43¹ × 59¹

Step-3: Factors of 71029

List of positive integer factors of 71029 that divides 71029 without a remainder.

1, 7, 73, 139, 511, 973, 10147

Step-4: Factors of 71036

List of positive integer factors of 71036 that divides 71029 without a remainder.

1, 2, 4, 7, 14, 28, 43, 59, 86, 118, 172, 236, 301, 413, 602, 826, 1204, 1652, 2537, 5074, 10148, 17759, 35518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71029 and 71036. The biggest common factor number is the GCF number.
So the greatest common factor 71029 and 71036 is 7.

Also check out the Least Common Multiple of 71029 and 71036