What is the Greatest Common Factor of 61026 and 61040?

Greatest common factor (GCF) of 61026 and 61040 is 14.

GCF(61026,61040) = 14

We will now calculate the prime factors of 61026 and 61040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61026 and 61040.

How to find the GCF of 61026 and 61040?

We will first find the prime factorization of 61026 and 61040. After we will calculate the factors of 61026 and 61040 and find the biggest common factor number .

Step-1: Prime Factorization of 61026

Prime factors of 61026 are 2, 3, 7, 1453. Prime factorization of 61026 in exponential form is:

61026 = 2¹ × 3¹ × 7¹ × 1453¹

Step-2: Prime Factorization of 61040

Prime factors of 61040 are 2, 5, 7, 109. Prime factorization of 61040 in exponential form is:

61040 = 2⁴ × 5¹ × 7¹ × 109¹

Step-3: Factors of 61026

List of positive integer factors of 61026 that divides 61026 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1453, 2906, 4359, 8718, 10171, 20342, 30513

Step-4: Factors of 61040

List of positive integer factors of 61040 that divides 61026 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 109, 112, 140, 218, 280, 436, 545, 560, 763, 872, 1090, 1526, 1744, 2180, 3052, 3815, 4360, 6104, 7630, 8720, 12208, 15260, 30520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61026 and 61040. The biggest common factor number is the GCF number.
So the greatest common factor 61026 and 61040 is 14.

Also check out the Least Common Multiple of 61026 and 61040