What is the Greatest Common Factor of 83053 and 83070?

Greatest common factor (GCF) of 83053 and 83070 is 1.

GCF(83053,83070) = 1

We will now calculate the prime factors of 83053 and 83070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83053 and 83070.

How to find the GCF of 83053 and 83070?

We will first find the prime factorization of 83053 and 83070. After we will calculate the factors of 83053 and 83070 and find the biggest common factor number .

Step-1: Prime Factorization of 83053

Prime factors of 83053 are 23, 157. Prime factorization of 83053 in exponential form is:

83053 = 23² × 157¹

Step-2: Prime Factorization of 83070

Prime factors of 83070 are 2, 3, 5, 13, 71. Prime factorization of 83070 in exponential form is:

83070 = 2¹ × 3² × 5¹ × 13¹ × 71¹

Step-3: Factors of 83053

List of positive integer factors of 83053 that divides 83053 without a remainder.

1, 23, 157, 529, 3611

Step-4: Factors of 83070

List of positive integer factors of 83070 that divides 83053 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 71, 78, 90, 117, 130, 142, 195, 213, 234, 355, 390, 426, 585, 639, 710, 923, 1065, 1170, 1278, 1846, 2130, 2769, 3195, 4615, 5538, 6390, 8307, 9230, 13845, 16614, 27690, 41535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83053 and 83070. The biggest common factor number is the GCF number.
So the greatest common factor 83053 and 83070 is 1.

Also check out the Least Common Multiple of 83053 and 83070