What is the Greatest Common Factor of 78320 and 78330?

Greatest common factor (GCF) of 78320 and 78330 is 10.

GCF(78320,78330) = 10

We will now calculate the prime factors of 78320 and 78330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78320 and 78330.

How to find the GCF of 78320 and 78330?

We will first find the prime factorization of 78320 and 78330. After we will calculate the factors of 78320 and 78330 and find the biggest common factor number .

Step-1: Prime Factorization of 78320

Prime factors of 78320 are 2, 5, 11, 89. Prime factorization of 78320 in exponential form is:

78320 = 2⁴ × 5¹ × 11¹ × 89¹

Step-2: Prime Factorization of 78330

Prime factors of 78330 are 2, 3, 5, 7, 373. Prime factorization of 78330 in exponential form is:

78330 = 2¹ × 3¹ × 5¹ × 7¹ × 373¹

Step-3: Factors of 78320

List of positive integer factors of 78320 that divides 78320 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 89, 110, 176, 178, 220, 356, 440, 445, 712, 880, 890, 979, 1424, 1780, 1958, 3560, 3916, 4895, 7120, 7832, 9790, 15664, 19580, 39160

Step-4: Factors of 78330

List of positive integer factors of 78330 that divides 78320 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 373, 746, 1119, 1865, 2238, 2611, 3730, 5222, 5595, 7833, 11190, 13055, 15666, 26110, 39165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78320 and 78330. The biggest common factor number is the GCF number.
So the greatest common factor 78320 and 78330 is 10.

Also check out the Least Common Multiple of 78320 and 78330