What is the Greatest Common Factor of 39240 and 39260?
Greatest common factor (GCF) of 39240 and 39260 is 20.
GCF(39240,39260) = 20
We will now calculate the prime factors of 39240 and 39260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39240 and 39260.
How to find the GCF of 39240 and 39260?
We will first find the prime factorization of 39240 and 39260. After we will calculate the factors of 39240 and 39260 and find the biggest common factor number .
Step-1: Prime Factorization of 39240
Prime factors of 39240 are 2, 3, 5, 109. Prime factorization of 39240 in exponential form is:
39240 = 23 × 32 × 51 × 1091
Step-2: Prime Factorization of 39260
Prime factors of 39260 are 2, 5, 13, 151. Prime factorization of 39260 in exponential form is:
39260 = 22 × 51 × 131 × 1511
Step-3: Factors of 39240
List of positive integer factors of 39240 that divides 39240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 109, 120, 180, 218, 327, 360, 436, 545, 654, 872, 981, 1090, 1308, 1635, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 6540, 7848, 9810, 13080, 19620
Step-4: Factors of 39260
List of positive integer factors of 39260 that divides 39240 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 151, 260, 302, 604, 755, 1510, 1963, 3020, 3926, 7852, 9815, 19630
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 39240 and 39260. The biggest common factor number is the GCF number.
So the greatest common factor 39240 and 39260 is 20.
Also check out the Least Common Multiple of 39240 and 39260
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